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Finding the Fourth Proportional to 1,796.52, 2,690.88 and 1,101.09

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Solution

The fourth proportional to 1,796.52, 2,690.88 and 1,101.09 is: 1,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.52 : 2,690.88 = 1,101.09 : x
  2. Step 2: Convert to fraction form
    1,796.52/2,690.88 = 1,101.09/x
  3. Step 3: Cross multiply
    1,796.52x = 2,690.88 × 1,101.09
  4. Step 4: Simplify right side
    1,796.52x = 2,962,901.06
  5. Step 5: Solve for x
    x = 2,962,901.06/1,796.52
  6. Step 6: Final answer
    x = 1,649.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.